85186560 has 192 divisors, whose sum is σ = 283046400. Its totient is φ = 21856256.

The previous prime is 85186553. The next prime is 85186579. The reversal of 85186560 is 6568158.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×85186560³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443811 + ... + 1443869.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^85186560 is an apocalyptic number.

85186560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

85186560 is an abundant number, since it is smaller than the sum of its proper divisors (197859840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85186560 is a wasteful number, since it uses less digits than its factorization.

85186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 85186560 is about 9229.6565483229. The cubic root of 85186560 is about 440.0044076693.

The spelling of 85186560 in words is "eighty-five million, one hundred eighty-six thousand, five hundred sixty".